Me and my wife has shared this a computer with installed SuSE for years.

After an upgrade of lots of packages recently we there is no way to start a
second X session.

There is no "Switch user" in kscreenloader_greet, nor do I find any
configuration file to enable this option.

Using Intel integrated graphics

00:00.0 Host bridge: Intel Corporation 2nd Generation Core Processor Family
DRAM Controller (rev 09)
00:01.0 PCI bridge: Intel Corporation Xeon E3-1200/2nd Generation Core
Processor Family PCI Express Root Port (rev 09)
00:02.0 VGA compatible controller: Intel Corporation 2nd Generation Core
Processor Family Integrated Graphics Controller (rev 09)
00:16.0 Communication controller: Intel Corporation 6 Series/C200 Series
Chipset Family MEI Controller #1 (rev 04)
00:1a.0 USB controller: Intel Corporation 6 Series/C200 Series Chipset Family
USB Enhanced Host Controller #2 (rev 05)
00:1b.0 Audio device: Intel Corporation 6 Series/C200 Series Chipset Family
High Definition Audio Controller (rev 05)
00:1c.0 PCI bridge: Intel Corporation 6 Series/C200 Series Chipset Family PCI
Express Root Port 1 (rev b5)
00:1c.4 PCI bridge: Intel Corporation 6 Series/C200 Series Chipset Family PCI
Express Root Port 5 (rev b5)
00:1c.5 PCI bridge: Intel Corporation 6 Series/C200 Series Chipset Family PCI
Express Root Port 6 (rev b5)
00:1c.6 PCI bridge: Intel Corporation 6 Series/C200 Series Chipset Family PCI
Express Root Port 7 (rev b5)
00:1c.7 PCI bridge: Intel Corporation 82801 PCI Bridge (rev b5)
00:1d.0 USB controller: Intel Corporation 6 Series/C200 Series Chipset Family
USB Enhanced Host Controller #1 (rev 05)
00:1f.0 ISA bridge: Intel Corporation H67 Express Chipset Family LPC Controller
(rev 05)
00:1f.2 IDE interface: Intel Corporation 6 Series/C200 Series Chipset Family 4
port SATA IDE Controller (rev 05)
00:1f.3 SMBus: Intel Corporation 6 Series/C200 Series Chipset Family SMBus
Controller (rev 05)
00:1f.5 IDE interface: Intel Corporation 6 Series/C200 Series Chipset Family 2
port SATA IDE Controller (rev 05)
03:00.0 IDE interface: VIA Technologies, Inc. VT6415 PATA IDE Host Controller
05:00.0 Ethernet controller: Realtek Semiconductor Co., Ltd. RTL8111/8168/8411
PCI Express Gigabit Ethernet Controller (rev 06)
06:00.0 PCI bridge: ASMedia Technology Inc. ASM1083/1085 PCIe to PCI Bridge
(rev 01)
07:00.0 Ethernet controller: Realtek Semiconductor Co., Ltd. RTL8169 PCI
Gigabit Ethernet Controller (rev 10)